Skip to main content

Astronomy

2027 season

Last reviewed October 12, 2026

On this page(19 sections)
Type: Study
Divisions: C
Participants: Up to 2
Approx. Time: 50 minutes
Allowed Resources: Two three‑ring binders, two computers/tablets, or one of each (offline only, no AI tools); two Class IV calculators or a device's calculator app.

Astronomy is a two-person, data-heavy Division C event. For 2027 the theme is stellar evolution in normal and starburst galaxies: how stars are born, live and die, and how that life cycle plays out across whole galaxies, from quiet spirals like Andromeda to galaxies forming stars so fast they cannot keep it up for long. Teams answer questions and complete activities built on Hertzsprung–Russell (H-R) diagrams, spectra, light curves, proper motions, magnitudes, distance equations, images and data across the electromagnetic spectrum, and "multi-messenger" signals such as gravitational waves and neutrinos. The event rewards moving between a picture, a table and a physical argument, and then doing the arithmetic correctly. Teams that do well can say what a plot means, why an object looks the way it does, and what number follows from the formula, in that order.

Event format

RuleDetail
TeamUp to 2 students
TimeAbout 50 minutes
DivisionDivision C only
CalculatorClass IV. Each team may bring two stand-alone calculators; a team using a computer or tablet may use a calculator app on it instead
ResourcesOne of three options: one computer or tablet plus one three-ring binder, two computers or tablets, or two three-ring binders. The material may be in any form and from any source
BindersAny size; pages must be held in by the rings, may be removed during the event, and may sit in sheet protectors or be laminated
DevicesEverything on a computer or tablet must be stored so it works offline
ForbiddenUnauthorized AI tools (chatbots and other trained models) may not be used to answer questions under any circumstances
ScoringHighest score wins; preselected questions break ties

The 2027 rules give no level-specific restrictions, so the scope below applies at invitationals, regionals, state and nationals alike. The rules do not mention any online imaging tool or supervisor-provided computer, so plan to work entirely from what you bring.

What the rules cover

The 2027 rules manual lists the data types first, then three content items. The table paraphrases each and says what to study.

Rules itemWhat it asksWhat to study
Data types (opening of item 3)H-R diagrams, spectra, light curves, proper motions, distance equations, magnitudes and classification, observations from gamma rays to radio, and gravitational-wave, neutrino and cosmic-ray data, plus charts and graphsReading each format before you calculate
3a: Stellar evolutionClassification, spectral features and composition, luminosity, blackbody radiation, spectroscopy, the H-R diagram, Cepheids and RR Lyrae stars, Type Ia supernovae, neutron stars, ultra-luminous X-ray sources (ULXs) and gravitational wavesThe physics of stars, the remnants and explosions the list names
3a: Normal and starburst galaxiesMorphological classification, galactic structure (stellar populations, globular clusters) and interactions (tidal disruption, collisions, mergers)Galaxy types, populations, what triggers starbursts
3b: CalculationsOrbital mechanics, Kepler's laws, rotation and circular motion for binary and galactic systems; distances by parallax, spectroscopic parallax, the distance modulus, Cepheid and RR Lyrae period–luminosity relations, the Tully–Fisher relation, Type Ia supernovae and Hubble's law; the Stefan–Boltzmann and Wien lawsEvery formula section below
3c: Listed objectsThirteen entries (sixteen names counting M82's sub-objects): M31, the Sombrero Galaxy, M51, NGC 4536, MCG+07-33-027, NGC 1569, the Antennae, Arp 143, Arp 147, the Cartwheel, M82 (with M82 X-1, M82 X-2 and SN 2014J), GW170817 and Terzan 5The object table near the end of this guide

Stars: balance, mass and the life cycle

Why a star is stable

A star stays stable for millions to billions of years because of hydrostatic equilibrium: at every layer, the outward push from hot gas and radiation balances the inward pull of gravity from the material above. If fusion slows, pressure drops, gravity compresses the core, the core heats, and fusion speeds up again. The fuel burns at whatever rate keeps the balance. Orbiting planets play no role, and a star is not stable merely because it is dense or massive.

Mass decides everything

Stars form when cold clouds of molecular gas collapse, heat up and ignite hydrogen fusion near 10710^7 K. The long stable phase that follows is the main sequence. Fusion turns four protons into one helium nucleus: through the proton–proton chain in Sun-like and smaller stars, and through the CNO cycle in hotter, more massive stars (crossover near 1.3 solar masses).

Luminosity climbs steeply with mass. A useful approximation is L∝M3.5L \propto M^{3.5}, and because lifetime scales as fuel over burn rate, t∝M/L∝M−2.5t \propto M/L \propto M^{-2.5}. Massive stars are brilliant and short-lived; M dwarfs are faint and outlive everything. This one fact explains most of what a galaxy's light tells you: a galaxy glowing blue must have formed massive stars within the last few tens of millions of years, because those stars cannot survive longer.

Endpoints

Initial mass (approx.)Late stagesRemnantExplosion?
Below about 8 M⊙M_\odotRed giant, helium burning, asymptotic giant branch, envelope expelledWhite dwarf (carbon–oxygen), held up by electron degeneracy pressure, at most about 1.4 M⊙M_\odot (the Chandrasekhar limit)No, unless the white dwarf later gains mass in a binary (Type Ia)
About 8 to 20–25 M⊙M_\odotFusion through carbon, neon, oxygen, silicon to an iron coreNeutron starCore-collapse supernova
Above about 20–25 M⊙M_\odotSame, fasterBlack hole (sometimes a neutron star, depending on mass loss)Core collapse, sometimes faint or none

Mass boundaries vary between textbooks and depend on composition and mass loss, so learn the pattern, not the exact numbers.

Iron is the dead end. Fusing iron absorbs energy instead of releasing it, so once the core is iron it collapses in under a second. The rebound and the flood of neutrinos drive a core-collapse supernova (Type II if hydrogen lines show, Ib or Ic if the star had lost its envelope). Core-collapse supernovae only happen where massive stars were born recently, so a starburst galaxy produces them at a high rate, while an elliptical galaxy with no young stars essentially never does.

A white dwarf has a counterintuitive property that tests love: its radius shrinks as its mass grows. More mass means stronger gravity, which squeezes the degenerate electrons harder. At the Chandrasekhar limit, degeneracy pressure cannot win at all.

Classification, spectra and blackbody radiation

Spectral classes and luminosity classes

Spectral class tracks surface temperature. The order is O, B, A, F, G, K, M from hottest to coolest.

ClassApprox. temperature (K)ColorSpectral signature
Oabove 30,000blueIonized helium lines
B10,000–30,000blue-whiteNeutral helium lines
A7,500–10,000whiteStrongest hydrogen (Balmer) lines
F6,000–7,500yellow-whiteMetal lines strengthening
G5,200–6,000yellowCalcium and iron lines; the Sun is G2V
K3,700–5,200orangeMetal lines dominate
M2,400–3,700redMolecular bands (titanium oxide)

The luminosity class (a Roman numeral) separates stars of the same temperature by size: I supergiants, III giants, V main-sequence dwarfs. Giants have lower surface gravity and lower atmospheric pressure, so their lines are narrower. That is how a spectrum alone gives both temperature and size, which is the basis of spectroscopic parallax.

Why line strengths peak where they do

Line strength depends mainly on temperature, not abundance. Stars are roughly three-quarters hydrogen by mass almost everywhere, yet Balmer lines are weak in both O and M stars. In cool stars, few hydrogen atoms have electrons in the second level (where Balmer absorption starts); in very hot stars, most hydrogen is ionized. The lines peak in A stars near 10,000 K. Emission lines come from hot, thin gas, such as the ionized hydrogen regions around young massive stars. Strong H-alpha emission (656.3 nm, red) is the standard sign of current star formation in a galaxy.

Chemical composition shows up as metallicity: the fraction of elements heavier than helium. Each generation of stars enriches the gas with metals from supernovae and stellar winds, so metallicity is a clock for a population. Old halo and globular-cluster stars are metal-poor; young disk stars are metal-rich. The very first stars formed from almost pure hydrogen and helium left by the Big Bang.

Blackbody radiation

Stars radiate close to a blackbody, whose spectrum depends only on temperature.

Luminosity is intrinsic; flux is what arrives: F=L/(4πd2)F = L/(4\pi d^2). Many questions give two of LL, FF, dd and ask for the third.

Five red blackbody curves for 3,500, 4,000, 4,500, 5,000 and 5,500 K, with emitted energy against wavelength from 0 to 2,000 nm and two dotted vertical lines marking the visible band. Hotter curves are taller and peak at shorter wavelengths.
Hotter blackbodies are brighter at every wavelength and peak at shorter wavelengths (the 5,500 K curve peaks near 530 nm, the 3,500 K curve beyond 800 nm, in the infrared). The dotted lines mark the visible band.Credit: derivative work: ChrisHodgesUK (talk) Wiens law.svg: 4C, CC BY-SA 3.0, via Wikimedia Commons · source

Doppler shifts

The H-R diagram

The H-R diagram plots luminosity (or absolute magnitude) upward against temperature (or color, or spectral class) decreasing to the right. The main sequence runs from hot, bright stars at upper left to cool, faint stars at lower right; giants and supergiants sit above and to the right; white dwarfs sit below and to the left. Because L∝R2T4L \propto R^2 T^4, lines of constant radius run diagonally, which is how you read a star's size off the diagram.

For a whole population, the diagram is a clock. All stars in a cluster formed together, so the most massive leave the main sequence first. The point where the cluster's main sequence bends off toward the giants, the turnoff, marks the mass whose lifetime equals the cluster's age. A globular cluster's turnoff sits near the Sun's mass, giving ages above 10 billion years. A cluster with blue O and B stars still on its main sequence is only a few million years old. Galaxies are mixtures of many such populations, which is why their integrated colors encode their star-formation histories.

An H-R diagram with a log luminosity axis from 0.0001 to over a million solar luminosities and temperature falling to the right from 50,000 K. A black diagonal line carries star symbols labeled with masses from 0.1 to 120 solar masses, and colored curves leave the line toward the right, with the most massive stars moving almost horizontally at high luminosity.
The black line is where stars of each labeled mass (in solar masses) begin hydrogen burning; colored curves are their later paths. Massive stars leave first and move almost horizontally; lower-mass stars climb toward the giant region much later. Remove stars from the top of the line and you have an aging cluster's turnoff.Credit: Lithopsian, CC BY-SA 3.0, via Wikimedia Commons · source

Variable stars as standard candles

Two pulsating stars are named in the 2027 rules, both because they measure distance. They pulsate inside the instability strip on the H-R diagram, where a layer of partly ionized helium acts as a valve: it traps heat when compressed, pushes the star outward, then lets the heat escape so the star falls back.

TypePopulationPeriodLuminosityUse
Classical CepheidYoung, massive, metal-rich (Population I)About 1 to 100 daysThousands to tens of thousands of L⊙L_\odot; longer period means brighterDistances to nearby galaxies, to about 30–40 Mpc with Hubble or JWST
Type II CepheidOld, low-mass (Population II)About 1 to 50 daysFainter than classical Cepheids at the same periodGlobular clusters, halos
RR LyraeOld, low-mass, horizontal branch (Population II)About 0.2 to 1 dayNearly the same for all, MV≈+0.6M_V \approx +0.6Globular clusters, the Milky Way halo, nearby galaxies

The Cepheid period–luminosity relation (the Leavitt law) was found in the Small Magellanic Cloud, and Edwin Hubble used Cepheids in Andromeda to prove it is a separate galaxy. Confusing the two Cepheid types was the reason early distance estimates were off by about a factor of two.

Type Ia supernovae

A Type Ia supernova is the thermonuclear explosion of a carbon–oxygen white dwarf in a binary. Either it gains mass from a companion until it approaches the Chandrasekhar limit (the single-degenerate channel), or two white dwarfs spiral together, losing orbital energy to gravitational waves, and merge (the double-degenerate channel). Carbon fusion runs away through the whole star in seconds and unbinds it completely, so no remnant is left.

FeatureType IaCore-collapse (II, Ib, Ic)
ProgenitorWhite dwarf in a binaryMassive star, above about 8 M⊙M_\odot
MechanismThermonuclear runawayIron core collapse and rebound
Spectrum near peakNo hydrogen; strong silicon absorptionHydrogen (II) or none (Ib, Ic)
Light curveFast rise; decline powered by nickel-56 → cobalt-56 → iron-56 decayType II often shows a weeks-long plateau
RemnantNoneNeutron star or black hole
WhereAll galaxy types, including ellipticalsOnly where massive stars formed recently: spirals, irregulars, starbursts
Distance useStandardizable candleNot used as a standard candle in this event

Type Ia supernovae are not perfectly identical, but their peak luminosity correlates with how fast they fade: brighter events decline more slowly (the Phillips relation). After that correction, the peak absolute magnitude is about MB≈−19.3M_B \approx -19.3, bright enough to see across billions of light-years. Their distances are calibrated using Cepheids in nearby host galaxies, which is exactly why NGC 4536 is on the list. Dust makes Type Ia events look fainter and redder, which matters for SN 2014J, which went off behind M82's dense dust.

Neutron stars, ULXs and gravitational waves

Neutron stars and pulsars

A neutron star is the collapsed core of a massive star: roughly 1.4 to 2 solar masses packed into a sphere about 10–12 km in radius, supported by neutron degeneracy pressure and nuclear forces. Conservation of angular momentum makes a collapsing core spin up enormously, and magnetic flux conservation concentrates its field. A neutron star whose radiation beams sweep past Earth is a pulsar.

Isolated pulsars slow down as they radiate. A neutron star in a binary can be spun back up by accreting gas from its companion, which carries angular momentum; the result is a millisecond pulsar. Dense star clusters make many such binaries through close encounters, which is why Terzan 5 has more known millisecond pulsars than any other cluster.

Accretion and the Eddington limit

Gas falling onto a compact object heats to millions of kelvin and shines in X-rays. There is a natural ceiling on how bright accretion can be: radiation pushing outward on the infalling gas eventually balances gravity pulling it in. That ceiling is the Eddington luminosity.

Ultra-luminous X-ray sources

A ULX is an X-ray source outside a galaxy's nucleus with luminosity above about 103910^{39} erg/s (103210^{32} W). That is at or above the Eddington limit of a ~10 M⊙M_\odot black hole (about 1.3×10391.3 \times 10^{39} erg/s), so something unusual is going on. The candidate explanations, all tested with M82's two famous ULXs:

  1. An intermediate-mass black hole (hundreds to thousands of solar masses) accreting below its own, higher Eddington limit. M82 X-1 is a leading candidate: the frequencies of its quasi-periodic X-ray oscillations suggest a mass of roughly 400 M⊙M_\odot.
  2. Super-Eddington accretion onto a stellar-mass object, with the emission beamed toward us or the disk geometry letting radiation escape without stopping the inflow. M82 X-2 settled that this happens: NuSTAR found X-ray pulses every 1.37 s, so it is a neutron star, yet it shines at roughly 100 times its Eddington luminosity. It was the first known ULX pulsar.

ULXs cluster in star-forming regions. A starburst creates many massive stars, hence many black holes and neutron stars with massive companions feeding them. Chandra images of the Antennae, the Cartwheel ring, Arp 147 and M51 all show ULXs strung along zones of recent star formation.

Gravitational waves and multi-messenger astronomy

Accelerating masses ripple spacetime. Two compact objects in a tight orbit radiate gravitational waves, lose orbital energy, spiral inward and orbit faster. The signal is a chirp: frequency and amplitude both rise until the merger. The gravitational-wave frequency is twice the orbital frequency. Detectors such as LIGO, Virgo and KAGRA measure the stretching of space in kilometer-long laser interferometers, with fractional changes near 10−2110^{-21}.

Three things follow directly from a chirp. The rate at which the frequency rises gives the chirp mass, a combination of the two masses. The amplitude falls as 1/d1/d, so knowing the masses gives the distance directly, with no distance ladder: a standard siren. If light from the same event is also seen, the host galaxy's redshift plus the siren distance give the Hubble constant.

Multi-messenger astronomy combines different carriers of information:

MessengerProduced byDetected byWhat it adds
Electromagnetic radiationHot gas, stars, accretion, synchrotronTelescopes from radio to gamma raysPositions, spectra, composition
Gravitational wavesMerging compact objectsLaser interferometersMasses, distances, merger timing
NeutrinosNuclear reactions, core collapse, high-energy particle collisionsWater or ice detectors (Super-Kamiokande, IceCube)Escape dense cores directly; SN 1987A's neutrinos arrived hours before its light
Cosmic raysCharged particles accelerated in shocksAir-shower arraysHigh-energy acceleration; directions scrambled by magnetic fields

GW170817, on the 2027 list, is the textbook case: a neutron-star merger heard in gravitational waves and seen across the spectrum.

Seeing in many wavelengths

BandWhat it tracesIn galaxies and starbursts
RadioNeutral hydrogen (21 cm), molecular gas, synchrotron from electrons in magnetic fieldsGas disks and rotation curves; supernova remnants in starbursts
InfraredWarm dust, cool stars, objects behind dustDust-buried star formation; starbursts often emit most of their energy here
OpticalStarlight; H-alpha from ionized gasMorphology, H II regions, dust lanes in silhouette
UltravioletHot young O and B starsRecent (last ~100 Myr) star formation, ring galaxies' blue rings
X-rayMillion-kelvin gas, accretion onto compact objectsULXs, hot superwinds, X-ray binaries, supernova remnants
Gamma rayMost energetic processes: pulsars, cosmic-ray collisions, gamma-ray burstsGRB 170817A; starbursts like M82 glow faintly from cosmic rays hitting gas

Dust is the reason the infrared matters. It absorbs ultraviolet and blue light from young stars and re-emits it at tens of kelvin, so a dusty starburst can look unremarkable in visible light and blaze in the far infrared. JWST works mainly in the infrared for this reason.

Galaxies: types, structure and populations

Morphological classification

Hubble's tuning fork sorts galaxies by appearance:

TypeNotationAppearanceStars and gas
EllipticalE0 (round) to E7 (most elongated); the number is 10(1−b/a)10(1 - b/a) from the apparent axis ratioSmooth, featurelessOld, red; little cold gas; little current star formation
LenticularS0Disk and bulge but no spiral armsOld, little gas
SpiralSa, Sb, Sc (and Sd)Disk with arms; Sa has a large bulge and tightly wound arms, Sc a small bulge and loose armsMixed; gas and star formation in the arms, increasing from Sa to Sc
Barred spiralSBa, SBb, SBcArms start from the ends of a central barAs spirals; bars funnel gas inward
IrregularIrrNo regular shapeOften gas-rich and star-forming

Despite the old labels "early type" (ellipticals) and "late type" (spirals), the sequence is not an evolutionary path. Mergers are the main route by which spirals become ellipticals. The ellipticity of an E galaxy is apparent, not intrinsic: a flattened elliptical seen end-on looks round.

Hubble's tuning-fork diagram. A row of elliptical galaxy images labeled E0 to E7 on the left leads to an S0 lenticular at the fork, which splits into an upper branch of spirals Sa, Sb, Sc and a lower branch of barred spirals SBa, SBb, SBc.
The tuning fork. Ellipticals grow more elongated from E0 to E7; at the fork the S0 lenticular has a disk but no arms; along both branches the bulge shrinks and the arms open from a to c. Bars are the only difference between the two branches.Credit: Ikonact., CC BY 2.5, via Wikimedia Commons · source

Galactic structure and stellar populations

A spiral like the Milky Way or M31 has a thin disk of gas, dust and young-to-middle-aged stars; a central bulge of mostly old stars; often a bar; a supermassive black hole at the center; a faint stellar halo of old stars and globular clusters; and a much larger, invisible dark matter halo.

PropertyPopulation IPopulation II
LocationDisk, spiral armsHalo, globular clusters, much of the bulge
AgeYoung to intermediateOld (above ~10 Gyr)
MetallicityHigh (Sun-like)Low
OrbitsNearly circular, in the planeElongated, randomly tilted
Typical membersO and B stars, classical Cepheids, open clusters, H II regionsRR Lyrae stars, Type II Cepheids, red giants in globular clusters

(Population III, the hypothetical first metal-free stars, has never been observed directly.)

Globular clusters are dense, nearly spherical groups of 10510^5 to 10610^6 stars, typically old and metal-poor. The Milky Way has about 150–160; the Sombrero Galaxy has well over a thousand. Their H-R diagrams show a low turnoff, a red-giant branch and a horizontal branch rich in RR Lyrae stars. Open clusters are the opposite: young, loose, in the disk. Terzan 5 is a reminder that not every "globular cluster" is simple: it holds stellar populations of different ages and iron content.

Rotation curves and galactic masses

Stars and gas in a disk orbit the center. If the galaxy's mass were concentrated where the light is, orbital speed would fall as 1/r1/\sqrt{r} outside the bright region, as planets' speeds do. Instead, radio (21 cm) and optical measurements show flat rotation curves: speed stays roughly constant far beyond the visible disk. Since M(<r)=v2r/GM(<r) = v^2 r/G, the enclosed mass keeps growing linearly with radius. That is the main evidence for dark matter halos; Vera Rubin's rotation curves of Andromeda were a key early case.

Starbursts and galaxy interactions

What a starburst is

A starburst galaxy forms stars far faster than it could sustain over its lifetime. A useful test is the gas depletion time: the gas mass divided by the star-formation rate. The Milky Way forms roughly 1–2 solar masses of stars per year and would take a few billion years to use its gas; a starburst may form tens to hundreds of solar masses per year and exhaust its gas in some tens to hundreds of millions of years. A starburst can be galaxy-wide or concentrated in the nucleus.

Signatures of a starburst, and why each appears:

  • Blue, UV-bright regions and super star clusters: many short-lived massive stars.
  • Strong H-alpha emission: their UV ionizes surrounding hydrogen.
  • Huge far-infrared luminosity: dust absorbs the UV and re-radiates it.
  • Radio synchrotron: electrons accelerated in supernova remnants.
  • A high core-collapse supernova rate and many ULXs and high-mass X-ray binaries.
  • Galactic superwinds: supernovae and stellar winds together blow hot, metal-rich gas out of the disk, seen as X-ray-bright, H-alpha-bright plumes along the minor axis (M82 is the prototype).

The wind is feedback: it removes and heats the gas that fuels star formation, which is one reason starbursts end.

What triggers them: interactions

Most strong starbursts are triggered by gravity from a neighbor. Tidal forces, the difference in a companion's pull across a galaxy, stretch it, launch long tidal tails and bridges, and disturb gas orbits. Gas clouds collide, lose angular momentum and fall toward the center, where they are compressed into new stars. Bars do something similar internally. The stars themselves almost never collide during a galaxy collision; the space between them is enormous. Gas clouds, which fill far more volume, do collide.

InteractionWhat happensExamples on the 2027 list
Tidal encounterA close pass raises tides, draws out arms and tails, triggers star formationM51 with NGC 5195; M82 disturbed by M81
Merger in progressTwo disks plunge together; tails, shocked gas, super star clustersThe Antennae
Head-on collision through a diskA compact galaxy passes near the center of a disk; a density wave expands outward as a ring of star formationThe Cartwheel, Arp 147, Arp 143
Future mergerTwo galaxies on a collision courseM31 and the Milky Way
Tidal disruptionA smaller system is torn apart by a larger one's tidesDwarf galaxies and clusters stripped into streams; a star torn apart near a black hole (a tidal disruption event)

The Roche limit idea, the distance inside which tides beat a body's self-gravity, applies at every scale: a moon near a planet, a star near a black hole, a globular cluster or dwarf galaxy near a large galaxy.

Hubble color image of the two overlapping cores of the Antennae galaxies. Swirls of dark brown dust lanes cross yellowish starlight, with many bright blue star clusters and pink glowing clouds scattered through the disks.
The central region of the Antennae merger. Blue knots are young, massive star clusters; pink patches are hydrogen gas lit by those stars (H-alpha); dark lanes are dust. The long tidal tails that give the pair its name lie outside this frame.Credit: NASA, ESA, and the Hubble Heritage Team (STScI/AURA)-ESA/Hubble Collaboration, Public domain, via Wikimedia Commons · source

Magnitudes, distances and the distance ladder

Magnitudes and proper motion

Magnitudes are logarithmic and run backwards: smaller is brighter, and 5 magnitudes is a factor of 100 in flux. Apparent magnitude mm is what we see; absolute magnitude MM is what the object would show at 10 pc.

Proper motion μ\mu is an object's angular drift across the sky, in arcseconds per year. Combined with distance it gives the tangential velocity; the Doppler shift gives the radial velocity; together they give the true space velocity.

Color indices such as B−V measure temperature (larger B−V means redder, cooler), but dust reddens and dims light too. An object that looks redder than its spectral class predicts is probably behind dust. This matters for M82, Terzan 5 and SN 2014J.

The ladder, rung by rung

RungHow it worksRange (approx.)
ParallaxGeometry from Earth's orbitHundreds of pc from the ground; several kpc with Gaia
Spectroscopic parallaxSpectrum gives class and luminosity class → MM from the H-R diagram → distance modulusThroughout the Milky Way
RR Lyrae starsNearly constant MV≈+0.6M_V \approx +0.6To the nearest galaxies (M31 with Hubble)
CepheidsPeriod → luminosityTo about 30–40 Mpc
Tully–Fisher relationRotation speed → luminosity of a spiralTo about 100+ Mpc
Type Ia supernovaeStandardized peak luminosityBillions of light-years
Hubble's lawRedshift → distanceLarge distances, where peculiar motions are small by comparison
Standard sirensGravitational-wave amplitudeIndependent of the ladder
A flow chart titled Extragalactic Distance Ladder with a distance scale from 1 kpc to 100 Mpc on the left. Boxes for RR Lyrae, globular cluster methods, cluster and LMC Cepheids, Local Group and HST Cepheids, novae, SBF, Tully-Fisher and SN Ia are linked by arrows upward to a top box labeled The Hubble Constant.
Methods arranged by reach, with arrows showing which calibrates which. Find RR Lyrae on the left, the Cepheid branch leading to Tully–Fisher and SN Ia, and notice every route ends at the Hubble constant.Credit: WilliamKF, TilmannR, CC BY-SA 3.0, via Wikimedia Commons · source

The Tully–Fisher relation

In spiral galaxies, the maximum rotation speed and the luminosity are tightly linked: L∝vmax 4L \propto v_\text{max}^{\,4} (roughly; the exponent depends on the waveband). The reason: a faster rotation speed means more mass (M∝v2rM \propto v^2 r), and more mass means more stars. Astronomers measure vmaxv_\text{max} from the width of the 21 cm line (a spinning disk smears the line by its rotation, corrected for inclination), read LL or MM from the calibrated relation, and compare with mm.

Hubble's law

Orbits in binary and galactic systems

Item 3b asks you to use Kepler's laws and circular motion for both binary stars and galaxies.

Both bodies orbit the center of mass, and the heavier one sits closer to it.

For circular orbits, v=GM/rv = \sqrt{GM/r}, so orbital speed falls as 1/r1/\sqrt{r} around a point mass, and escape speed is 2\sqrt{2} times circular speed. Orbit shape follows eccentricity: e=0e = 0 circle, 0<e<10 < e < 1 ellipse, e=1e = 1 parabola (exactly escape energy), e>1e > 1 hyperbola (unbound). Galaxy encounters are usually on near-parabolic or bound orbits; the more slowly two galaxies pass, the stronger the tidal damage.

Binary stars give masses through eclipses and Doppler shifts: an eclipsing binary's light curve gives the period and the radii; a spectroscopic binary's opposite-moving line sets give the velocity ratio, hence the mass ratio. Gravitational-wave binaries are the extreme case, with orbital periods of milliseconds just before merger.

The 2027 listed objects

Learn what each object is, which rules topic it illustrates, and which observation identifies it. Distances are approximate; published values vary.

ObjectWhat it isWhat to know
Andromeda Galaxy (M31)Large spiral, the nearest big galaxy, about 2.5 million ly (≈ 770 kpc)Hubble's Cepheid in M31 proved galaxies lie outside the Milky Way; flat rotation curve (Rubin) points to dark matter; blueshifted, approaching at roughly 110 km/s relative to the Milky Way, a collision within roughly 5–10 billion years is likely but not certain; hundreds of globular clusters and a disrupted-dwarf stream from past tidal encounters
Sombrero Galaxy (M104)Bright, nearly edge-on galaxy with a huge bulge and a dark dust lane, about 30 million lyUsually classed Sa or S0; infrared data suggest a giant elliptical hosting a disk; roughly 2,000 globular clusters; a central black hole near a billion M⊙M_\odot; little current star formation (a "normal" galaxy)
M51 (Whirlpool Galaxy)Grand-design spiral interacting with its small companion NGC 5195, about 25–30 million lyTextbook tidal interaction: the encounter sharpened its spiral arms and triggered star formation along them; several recent core-collapse supernovae; many X-ray binaries and ULXs
NGC 4536Barred spiral in the Virgo cluster region, about 50 million lyCepheids measured with Hubble in this galaxy calibrate the Type Ia supernova SN 1981B, a rung in the Hubble-constant ladder; star-forming ring and nucleus
MCG+07-33-027Spiral galaxy imaged by Hubble, a few hundred million ly awayPresented as a starburst galaxy with an exceptionally high star-formation rate; see the uncertainty note below
NGC 1569Dwarf irregular starburst galaxy, about 11 million lySuper star clusters, intense recent star formation and a galactic wind carrying gas out of a small galaxy; Hubble resolved its stars and revised its distance upward, which made the starburst look even more intense
Antennae Galaxies (NGC 4038/4039)Two colliding spirals partway through a merger, roughly 45–65 million lyLong tidal tails; thousands of young star clusters and super star clusters; Chandra found many ULXs and hot, metal-enriched gas from supernovae
Arp 143 (NGC 2445/2444)Interacting pair; NGC 2445 has a ring-like burst of star formation after a passage by NGC 2444Collision-triggered star formation lighting up in UV, IR and X-rays (bright X-ray sources in the star-forming regions)
Arp 147Pair of galaxies in which one has been punched into a blue ring, roughly 400+ million lyA ring of star formation from a head-on passage; a reddish knot in the ring may be the old nucleus; Chandra found ULXs in the ring, likely black holes in young binaries
Cartwheel GalaxyRing galaxy, about 500 million lyA smaller galaxy plunged through its disk; an expanding ring of intense star formation, a central region and spokes; JWST imaged the dust, Chandra its many ULXs
M82 (Cigar Galaxy)Prototype starburst, an edge-on disk about 12 million ly away, disturbed by M81Star-formation rate roughly ten times the Milky Way's in the core; a bipolar superwind seen in H-alpha and X-rays; very bright in IR
M82 X-1ULX in M82Intermediate-mass black hole candidate, about 400 M⊙M_\odot from X-ray oscillation frequencies
M82 X-2ULX in M82Pulsations every 1.37 s show it is a neutron star; the first ULX pulsar, shining far above its Eddington limit
SN 2014JType Ia supernova in M82, January 2014One of the nearest Type Ia events in decades; heavily reddened and dimmed by M82's dust; gamma-ray lines from cobalt-56 decay were detected, confirming the radioactive power source
GW170817Merger of two neutron stars, detected 17 August 2017Gravitational-wave chirp (LIGO/Virgo), a short gamma-ray burst about 1.7 s later (Fermi, INTEGRAL), and a kilonova in NGC 4993 about 130 million ly away; heavy r-process elements seen forming; showed gravity travels at the speed of light; the first standard-siren estimate of H0H_0 (about 70 km/s/Mpc)
Terzan 5Globular-cluster-like system in the Milky Way's bulge, about 20,000 lyHidden behind heavy dust, so studied in IR and X-rays; contains stellar populations of different ages and iron content, so it may be a remnant building block of the bulge; hosts more known millisecond pulsars (dozens) than any other cluster

Common pitfalls

How tournaments test this

Our archive of public tournament tests holds 6,969 Astronomy questions, of which 6,900 are tagged Division C. The question bank holds a further 25,842 questions, of which 22,732 are Division C. Most archived questions come from seasons that emphasized single-star evolution, so the archive under-represents galaxies; use it for the stellar physics and calculation skills, and expect 2027 tests to shift weight toward the galaxy material above.

Format. Free-response questions dominate, which suits an event built on explaining and calculating.

Question typeArchived questionsShare of archive
Free response (frq)4,16059.7%
Multiple choice (mcq)2,22431.9%
Numeric3004.3%
True or false1692.4%
Multi-select1121.6%
Matching40.1%

Subtopics. Questions may carry several tags. Stars (4,141 questions, 59.4%) and stellar evolution (3,003, 43.1%) dominate; deep-sky objects follow at 8.2%, galaxies 6.3%, instruments 4.7%, solar system 2.1% and cosmology 0.7%. Earlier galaxy-themed seasons supply most of the galaxy questions, and those are the ones to seek out for practice.

Task profile. Task labels cover about 27% of questions, so treat these as minimums: explain-or-why prompts lead at 9.7%, then which-of-the-following items (5.2%), calculations (4.8%), interpreting a graph, table or curve (3.5%) and compare-and-contrast (1.6%). Most tasks ask for reasoning; calculation is a substantial minority.

Recurring vocabulary. The most frequent words in prompts are "star" (in 7,882 documents), "mass" (2,519), "distance" (1,795), "temperature" (1,647), "radius" (1,382), "magnitude" (1,317), "luminosity" (1,222) and "supernova" (1,124). The commonest phrases are main sequence, apparent magnitude, white dwarf, solar masses, absolute magnitude, black hole, neutron star and binary system.

Most common correct answers. White dwarf (104 questions), hydrogen (66), infrared (61), mass (54), iron (50), temperature (45), electron degeneracy pressure (41), red giant (41), neutron star (39), luminosity (37), planetary nebula (32), main sequence (30), radio (29), carbon and helium (28 each). The pattern still applies in 2027: tests reward the endpoint of a process, the element that dominates a stage, and the wavelength that reveals a structure (infrared for dust-buried starbursts, radio for gas disks, X-rays for ULXs).

Quizzes. Of the archived questions, 2,856 meet the site's trust rule (answer from an official key, not flagged). The quizzes below use only questions inside the 2027 scope, each re-solved before inclusion.

Strategy

Split by skill, then check each other. One partner owns stars and spectra (classification, H-R diagrams, variables, remnants, ULXs, gravitational waves); the other owns galaxies and calculations (morphology, populations, interactions, rotation curves, the distance ladder). Both should know every formula, and each should check the other's units.

Build the resources around formulas and objects. One formula page with a worked example each: magnitude difference, distance modulus, parallax, proper motion, Wien, Stefan–Boltzmann, Doppler, Kepler, enclosed mass from rotation, Tully–Fisher, Hubble's law and Eddington luminosity. One page per listed object with its images in several wavelengths, its distance, its classification and its "story". A tuning-fork diagram, a population I/II table and a ladder diagram round it out. Binder pages can be removed during the event, so tab them by topic.

If you use computers, prepare offline. Download every image, paper and press release you might need. No internet, and no AI tools under any circumstances.

Practice reading data. Expect light curves (identify a Type Ia decline or a Cepheid period), spectra (identify lines, measure a shift), H-R diagrams (find the turnoff), rotation curves, X-ray images and gravitational-wave chirps. Read the axes and units first, every time.

Manage time in two passes. Answer the short items first, mark long calculations and multi-part data sets, and return to them. Tiebreakers are preselected questions, so do not skip anything entirely.

Show work a grader can follow. Formula, substitution with units, answer with units. For explain-or-why answers, one clear cause-and-effect sentence, such as "the encounter compressed the gas, so the star-formation rate rose".

Rehearse on your actual calculator. Logarithms and powers of ten drive almost every distance question.

Test yourself

These questions come from public tournament tests in our archive. Choose an answer to check it; each link goes to the full test.

Test yourselfStars and stellar evolution
0 / 0 correct
  1. 1

    What is the upper mass limit of a white dwarf known as?

    Question 1 options

    From: Greenbrier Invitational, 2025-26, Division C

Practice more Astronomy questions →

Test yourselfDistances, magnitudes and orbits
0 / 0 correct
  1. 1

    A star with an apparent magnitude of 2 and absolute magnitude of –3 is

    Question 1 options

    From: University of Michigan Invitational - MI, 2025-26, Division C

Practice more Astronomy questions →

Test yourselfSupernovae, galaxies and multi-wavelength data
0 / 0 correct
  1. 1

    In what kind of galaxy[ies] would you be able to observe a Type 1a supernova?

    Question 1 options

    From: Jordan Invitational, 2024-25, Division C

Practice more Astronomy questions →

References and further reading

Official references

Sample notesheet

Download a printable, rule-compliant sample notesheet. Customize with your notes.